Averaged equations for Josephson junction series arrays with LRC load

Details Averaged equations for Josephson junction series arrays with LRC load Averaged equations for Josephson junction series arrays with LRC load

1994-08-26

arxiv.org/abs/chao-dyn/9408004v1

Nonlinear Sciences

Chaotic Dynamics

11 pages, LaTeX, with 2 figures in a separate uuencoded, tar-compressed file

Scientific paper

10.1103/PhysRevE.51.1020

We derive the averaged equations describing a series array of Josephson junctions shunted by a parallel inductor-resistor-capacitor load. We assume that the junctions have negligable capacitance ($\beta = 0$), and derive averaged equations which turn out to be completely tractable: in particular the stability of both in-phase and splay states depends on a single parameter, $\del$. We find an explicit expression for $\delta$ in terms of the load parameters and the bias current. We recover (and refine) a common claim found in the technical literature, that the in-phase state is stable for inductive loads and unstable for capacitive loads.

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